Pith Number

pith:IEMD3SEN

pith:2015:IEMD3SENJOUZFWR7TWL76JZQRW

not attested not anchored not stored refs pending

On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations

James Bremer

arxiv:1512.08357 v2 · 2015-12-28 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEMD3SENJOUZFWR7TWL76JZQRW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:09:55.070928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41183dc88d4ba992da3f9d97ff27308db0dec2f1d3f9051c2b46c5314d78e249

Aliases

arxiv: 1512.08357 · arxiv_version: 1512.08357v2 · doi: 10.48550/arxiv.1512.08357 · pith_short_12: IEMD3SENJOUZ · pith_short_16: IEMD3SENJOUZFWR7 · pith_short_8: IEMD3SEN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IEMD3SENJOUZFWR7TWL76JZQRW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 41183dc88d4ba992da3f9d97ff27308db0dec2f1d3f9051c2b46c5314d78e249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239613feec96cc84df8379a69ea4875323da051286bdcc1af93216a1f49adc62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-28T09:37:52Z",
    "title_canon_sha256": "64d416bafa78695230885b7bb03bc01468f31c168a22d3f09f0940027a08c4e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08357",
    "kind": "arxiv",
    "version": 2
  }
}